Parameter-Robust Preconditioning for Oseen Iteration Applied to Stationary and Instationary Navier--Stokes Control
DOI10.1137/21M1436531zbMath1492.65072arXiv2108.00282OpenAlexW3188160365MaRDI QIDQ5864688
Santolo Leveque, John W. Pearson
Publication date: 8 June 2022
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.00282
Navier-Stokes equationspreconditioningPDE-constrained optimizationtime-dependent problemssaddle-point systems
Navier-Stokes equations for incompressible viscous fluids (76D05) Iterative numerical methods for linear systems (65F10) Discrete approximations in optimal control (49M25) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Preconditioners for iterative methods (65F08) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22) PDE constrained optimization (numerical aspects) (49M41)
Uses Software
Cites Work
- Unnamed Item
- A preconditioner for optimal control problems, constrained by Stokes equation with a time-harmonic control
- Preconditioned iterative methods for Navier-Stokes control problems
- An aggregation-based algebraic multigrid method
- Chebyshev semi-iterative methods, successive overrelaxation iterative methods, and second order Richardson iterative methods. I, II
- A modified streamline diffusion method for solving the stationary Navier- Stokes equation
- Chebyshev semi-iteration in preconditioning for problems including the mass matrix
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- Stabilized finite element methods. II: The incompressible Navier-Stokes equations
- Stabilised vs. stable mixed methods for incompressible flow
- Stabilized finite element schemes with LBB-stable elements for incompressible flows
- A second-order projection method for the incompressible Navier-Stokes equations
- A finite element pressure gradient stabilization for the Stokes equations based on local projections
- On the development of parameter-robust preconditioners and commutator arguments for solving Stokes control problems
- Optimal control of the convection-diffusion equation using stabilized finite element methods
- Fast iterative solvers for convection-diffusion control problems
- Optimal control of Navier-Stokes equations by Oseen approximation
- A Note on Preconditioning Nonsymmetric Matrices
- Finite Elements and Fast Iterative Solvers
- An Algebraic Multigrid Method with Guaranteed Convergence Rate
- A Space-Time Multigrid Method for Optimal Flow Control
- Nonstandard Norms and Robust Estimates for Saddle Point Problems
- Preconditioning Iterative Methods for the Optimal Control of the Stokes Equations
- Preconditioning for boundary control problems in incompressible fluid dynamics
- Aggregation-Based Algebraic Multigrid for Convection-Diffusion Equations
- Optimization with PDE Constraints
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Streamline Diffusion Methods for the Incompressible Euler and Navier-Stokes Equations
- Inexact and Preconditioned Uzawa Algorithms for Saddle Point Problems
- A Note on Preconditioning for Indefinite Linear Systems
- A Preconditioner for the Steady-State Navier--Stokes Equations
- Regularization-Robust Preconditioners for Time-Dependent PDE-Constrained Optimization Problems
- Fast iterative solver for the optimal control of time‐dependent PDEs with Crank–Nicolson discretization in time
- Local projection type stabilization applied to inf-sup stable discretizations of the Oseen problem
- Efficient Preconditioning for an Optimal Control Problem with the Time-Periodic Stokes Equations
- A Flexible Inner-Outer Preconditioned GMRES Algorithm
- HSL_MI20 : An efficient AMG preconditioner for finite element problems in 3D
- A SQP-Semismooth Newton-type Algorithm applied to Control of the instationary Navier--Stokes System Subject to Control Constraints
- Local Projection Stabilization for the Oseen Problem and its Interpretation as a Variational Multiscale Method
- Preconditioning Navier–Stokes control using multilevel sequentially semiseparable matrix computations
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